5(3+z)-(8z-9)=-4z

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Solution for 5(3+z)-(8z-9)=-4z equation: 


Simplifying
5(3 + z) + -1(8z + -9) = -4z
(3 * 5 + z * 5) + -1(8z + -9) = -4z
(15 + 5z) + -1(8z + -9) = -4z

Reorder the terms:
15 + 5z + -1(-9 + 8z) = -4z
15 + 5z + (-9 * -1 + 8z * -1) = -4z
15 + 5z + (9 + -8z) = -4z

Reorder the terms:
15 + 9 + 5z + -8z = -4z

Combine like terms: 15 + 9 = 24
24 + 5z + -8z = -4z

Combine like terms: 5z + -8z = -3z
24 + -3z = -4z

Solving
24 + -3z = -4z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '4z' to each side of the equation.
24 + -3z + 4z = -4z + 4z

Combine like terms: -3z + 4z = 1z
24 + 1z = -4z + 4z

Combine like terms: -4z + 4z = 0
24 + 1z = 0

Add '-24' to each side of the equation.
24 + -24 + 1z = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = 0 + -24
1z = 0 + -24

Combine like terms: 0 + -24 = -24
1z = -24

Divide each side by '1'.
z = -24

Simplifying
z = -24

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